Question

Fill in the blanks: i) The median of a set of data is always: ii) A value of the correlation coefficient, r close to negative one means: iii) A botanist investigates the relationship between Y, the heights of seedlings (in inches), and X, the number of weeks after planting. The summary data are: n = 6, X = 4.67 T = 9.467 , EX? =154 EY? = 696.54 E XY = 325.9. The fitted regression line for seedling height on the number of weeks after planting is :-

can you answer third part of this question

Answer 1

11 Assume a linear of weeks (x) Y: seedling height (in ineben) *: number of seeks after planting regression of seedling height (X) on the number Yi - R+ Pxi V- i = [(1) G we have to predict the model i at Brite through ising the least squared estimates and f of the regression coefficients et and p respectively regression } = 2 + 8x. Nowo, squared error, si e? ¿CY:-6-pxi)? error and determine the Fitted line : to minimise this, as² and = 0 =0 1=1 6 -(2) - 28.02 as² apoi *-22(Yi-x-pxi) = - 22 (Ki-4-BXi) xi 6x+PXi -- > <fx+p3x2 3xY; Now given n=6, 8 = 4.67 -> Şxi = (4-67x6) similarly, r = (2-467* 6) = 56-802 Pretting all those values, 66 +28.02 and 28.02x + 1548 325.9. solving get, ß = (325.9 %6) - (56-802 x 23-02) (154x6) - (28-02 x 28-02) 56.802 On ce 363.80796 138.8796 = 2.6196 and 56 802 (28.02 x 2.6196) - 2.7665 line: therefore fitted regression Y -- 2.7665 +2.6196 X